Strain gradient theory-based vibration analyses for functionally graded microbeams reinforced by GPL

doi:10.1088/1402-4896/ad3290

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	Strain gradient theory-based vibration analyses for functionally graded microbeams reinforced by GPL
	Zhang, Jinghua; Yao, Yuqin
	2024-04-01
发表期刊	PHYSICA SCRIPTA
ISSN	0031-8949
卷号	99 期号:4
摘要	On the basis of modified strain gradient theory (MSGT), the free vibration of graphene nanoplatelets (GPL) reinforced functionally graded (FG) microbeam on elastic foundation is studied. Firstly, material properties of the composites are calculated by Halpin-Tsai model and linear mixed model. Then, the MSGT and Reddy beam theory are adopted to establish the fundamental equations of the microbeam on the elastic foundation. And the governing differential equations related to the size effect are derived by the Hamiltonian principle and solved by the Navier method. Finally, the influences of the graded distribution, mass fraction, geometric shape of GPL and size effect on the vibration behaviors are discussed in detail. Results show that these parameters have significant influence on the natural frequencies. The methods to improve the natural frequencies of the microbeams are proposed considering the influence of internal microstructure on the overall characteristics. The research results are of great significance to design this kind of micro-nano structures.
关键词	free vibration functionally grade microbeam modified strain gradient theory Reddy theory graphene nanoplatelets reinforcement
DOI	10.1088/1402-4896/ad3290
收录类别	SCIE ; EI
语种	英语
资助项目	Science and Technology Program of Gansu Province https://doi.org/10.13039/501100018554 [12062010, 12362009]; National Natural Science Foundation of China [23JRRA775]; Science and Technology Program of Gansu Province
WOS研究方向	Physics
WOS类目	Physics, Multidisciplinary
WOS记录号	WOS:001189178600001
出版者	IOP Publishing Ltd
EI入藏号	20241315814781
EI主题词	Reinforcement
EI分类号	761 Nanotechnology ; 804 Chemical Products Generally ; 921.2 Calculus ; 933 Solid State Physics ; 951 Materials Science
原始文献类型	Article
EISSN	1402-4896
引用统计	无
文献类型	期刊论文
条目标识符	https://ir.lut.edu.cn/handle/2XXMBERH/170211
专题	理学院
通讯作者	Zhang, Jinghua
作者单位	Lanzhou Univ Technol, Sch Sci, Lanzhou 730050, Peoples R China
第一作者单位	理学院
通讯作者单位	理学院
第一作者的第一单位	理学院
推荐引用方式 GB/T 7714	Zhang, Jinghua,Yao, Yuqin. Strain gradient theory-based vibration analyses for functionally graded microbeams reinforced by GPL[J]. PHYSICA SCRIPTA,2024,99(4).
APA	Zhang, Jinghua,&Yao, Yuqin.(2024).Strain gradient theory-based vibration analyses for functionally graded microbeams reinforced by GPL.PHYSICA SCRIPTA,99(4).
MLA	Zhang, Jinghua,et al."Strain gradient theory-based vibration analyses for functionally graded microbeams reinforced by GPL".PHYSICA SCRIPTA 99.4(2024).